{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:LNI45YI43K2KGJVBOYOUOPSG7Q","short_pith_number":"pith:LNI45YI4","schema_version":"1.0","canonical_sha256":"5b51cee11cdab4a326a1761d473e46fc1e595b98d1dbd70af23b4b03e29999e3","source":{"kind":"arxiv","id":"2303.00784","version":3},"attestation_state":"computed","paper":{"title":"Intrinsic dimensional functional inequalities on model spaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.PR","authors_text":"Alexandros Eskenazis, Yair Shenfeld","submitted_at":"2023-03-01T19:12:49Z","abstract_excerpt":"We initiate a systematic study of intrinsic dimensional versions of classical functional inequalities which capture refined properties of the underlying objects. We focus on model spaces: Euclidean space, Hamming cube, and manifolds of constant curvature. In the latter settings, our intrinsic dimensional functional inequalities improve on a series of known results and lead to new Hamilton-type matrix inequalities. Our proofs rely on scaling, tensorization, and stochastic methods."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2303.00784","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-03-01T19:12:49Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"8e64c8ad48e178161ed03e3e7b0f13611afeff1a93242879041f092a2be48c71","abstract_canon_sha256":"e6d2a668fb2b724b9301c64e2a7a27df705c6238e8ed0161057e08f4880976b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:09:36.337632Z","signature_b64":"HfH8l3wG0a6u2V3QvN+Bb7G8WyjcD5HY+ygoii5NG4EJMa5vrHTCiP08r/KxaQQCJmJxeayuXHrjN5ZGm7WfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b51cee11cdab4a326a1761d473e46fc1e595b98d1dbd70af23b4b03e29999e3","last_reissued_at":"2026-06-04T01:09:36.337106Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:09:36.337106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intrinsic dimensional functional inequalities on model spaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.PR","authors_text":"Alexandros Eskenazis, Yair Shenfeld","submitted_at":"2023-03-01T19:12:49Z","abstract_excerpt":"We initiate a systematic study of intrinsic dimensional versions of classical functional inequalities which capture refined properties of the underlying objects. We focus on model spaces: Euclidean space, Hamming cube, and manifolds of constant curvature. In the latter settings, our intrinsic dimensional functional inequalities improve on a series of known results and lead to new Hamilton-type matrix inequalities. Our proofs rely on scaling, tensorization, and stochastic methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.00784","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.00784/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2303.00784","created_at":"2026-06-04T01:09:36.337170+00:00"},{"alias_kind":"arxiv_version","alias_value":"2303.00784v3","created_at":"2026-06-04T01:09:36.337170+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.00784","created_at":"2026-06-04T01:09:36.337170+00:00"},{"alias_kind":"pith_short_12","alias_value":"LNI45YI43K2K","created_at":"2026-06-04T01:09:36.337170+00:00"},{"alias_kind":"pith_short_16","alias_value":"LNI45YI43K2KGJVB","created_at":"2026-06-04T01:09:36.337170+00:00"},{"alias_kind":"pith_short_8","alias_value":"LNI45YI4","created_at":"2026-06-04T01:09:36.337170+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q","json":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q.json","graph_json":"https://pith.science/api/pith-number/LNI45YI43K2KGJVBOYOUOPSG7Q/graph.json","events_json":"https://pith.science/api/pith-number/LNI45YI43K2KGJVBOYOUOPSG7Q/events.json","paper":"https://pith.science/paper/LNI45YI4"},"agent_actions":{"view_html":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q","download_json":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q.json","view_paper":"https://pith.science/paper/LNI45YI4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2303.00784&json=true","fetch_graph":"https://pith.science/api/pith-number/LNI45YI43K2KGJVBOYOUOPSG7Q/graph.json","fetch_events":"https://pith.science/api/pith-number/LNI45YI43K2KGJVBOYOUOPSG7Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q/action/storage_attestation","attest_author":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q/action/author_attestation","sign_citation":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q/action/citation_signature","submit_replication":"https://pith.science/pith/LNI45YI43K2KGJVBOYOUOPSG7Q/action/replication_record"}},"created_at":"2026-06-04T01:09:36.337170+00:00","updated_at":"2026-06-04T01:09:36.337170+00:00"}